Least Common Multiple of 3490 and 3495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3490 and 3495 the smallest integer that is 2439510 that is divisible by both numbers.

Least Common Multiple (LCM) of 3490 and 3495 is 2439510.

LCM(3490,3495) = 2439510

LCM of 3490 and 3495

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 3490 and 3495

LCM of 3490 and 3495 is 2439510

Least common multiple can be found by multiplying the highest exponent prime factors of 3490 and 3495. First we will calculate the prime factors of 3490 and 3495.

Prime Factorization of 3490


2 3490
5 1745
349 349
1

Prime factors of 3490 are 2, 5,349. Prime factorization of 3490 in exponential form is:

3490 = 21×51×3491

Prime Factorization of 3495


3 3495
5 1165
233 233
1

Prime factors of 3495 are 3, 5,233. Prime factorization of 3495 in exponential form is:

3495 = 31×51×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 3490 and 3495.

LCM(3490,3495) = 21×31×51×2331×3491
LCM(3490,3495) = 2439510

Factors of 3490

List of positive integer factors of 3490 that divides 3490 without a remainder.

1, 2, 5, 10, 349, 698, 1745, 3490

Factors of 3495

List of positive integer factors of 3495 that divides 3495 without a remainder.

1, 3, 5, 15, 233, 699, 1165, 3495

Least Common Multiple of 3490 and 3495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3490 and 3495, than apply into the LCM equation.

GCF(3490,3495) = 5
LCM(3490,3495) = ( 3490 × 3495) / 5
LCM(3490,3495) = 12197550 / 5
LCM(3490,3495) = 2439510

Properties of LCM 3490 and 3495

(i) The LCM of 3495 and 3490 is associative

LCM of 3490 and 3495 = LCM of 3495 and 3490

Related Least Common Multiples of 3490

Related Least Common Multiples of 3495

Frequently Asked Questions on LCM of 3490 and 3495

1. What is the LCM of 3490 and 3495?

Answer: LCM of 3490 and 3495 is 2439510.

2. What are the Factors of 3490?

Answer: Factors of 3490 are 1, 2, 5, 10, 349, 698, 1745, 3490. There are 8 integers that are factors of 3490. The greatest factor of 3490 is 3490.

3. What are the Factors of 3495?

Answer: Factors of 3495 are 1, 3, 5, 15, 233, 699, 1165, 3495. There are 8 integers that are factors of 3495. The greatest factor of 3495 is 3495.

4. How to Find the LCM of 3490 and 3495?

Answer:

Least Common Multiple of 3490 and 3495 = 2439510

Step 1: Find the prime factorization of 3490

3490 = 2 x 5 x 349

Step 2: Find the prime factorization of 3495

3495 = 3 x 5 x 233

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 2439510 = 2 x 3 x 5 x 233 x 349

Step 4: Therefore, the least common multiple of 3490 and 3495 is 2439510.